The Steinberg Variety and Representations of Reductive Groups
Representation Theory
2008-10-25 v4 K-Theory and Homology
Abstract
We give an overview of some of the main results in geometric representation theory that have been proved by means of the Steinberg variety. Steinberg's insight was to use such a variety of triples in order to prove a conjectured formula by Grothendieck. The Steinberg variety was later used to give an alternative approach to Springer's representations and played a central role in the proof of the Deligne-Langlands conjecture for Hecke algebras by Kazhdan and Lusztig.
Cite
@article{arxiv.0802.0764,
title = {The Steinberg Variety and Representations of Reductive Groups},
author = {J. Matthew Douglass and Gerhard Roehrle},
journal= {arXiv preprint arXiv:0802.0764},
year = {2008}
}
Comments
37 pages; significant revision and extension; to appear in J. Algebra